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Subject: Combinatorial game theory rss

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Charles Zheng
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Combinatorial game theory (CGT) is a mathematical method to analyze games invented by John Conway. The invention of CGT was motivated by Go, and according to Sensei's Library, it is useful for understanding Go endgames.

Winning Ways includes numerous examples of games which can be analyzed using CGT. However, of those games, only a few are commonly played by non-mathematicians, including Amazons and Dots and Boxes.

Have any players or designers here found CGT concepts to be useful? I am learning CGT purely for fun, but I would like to know if there are more "real world" applications to the theory.
 
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Nick Bentley
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snarles wrote:
Combinatorial game theory (CGT) is a mathematical method to analyze games invented by John Conway. The invention of CGT was motivated by Go, and according to Sensei's Library, it is useful for understanding Go endgames.

Winning Ways includes numerous examples of games which can be analyzed using CGT. However, of those games, only a few are commonly played by non-mathematicians, including Amazons and Dots and Boxes.

Have any players or designers here found CGT concepts to be useful? I am learning CGT purely for fun, but I would like to know if there are more "real world" applications to the theory.


A lot of designers pay attention to temperature in designing. I certainly find the concept useful.

(Note: now that game designers use it divorced from it's original context, "hotness" and "coldness" may be taking on shades of meaning they didn't originally have in CGT)
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Russ Williams
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FWIW I recall hearing years ago that at least one Go-playing AI program explicitly used CGT to analyze endgame positions.
 
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